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Laplace of constants and powers of t

rebelmaths

Solve a Differential equation with 3 simple linear factors

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Calculate confidence interval for the proportion

Calculate confidence interval for the mean, sample variance n>30

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Calculate confidence interval for the mean, sample variance adaptive marking

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

7 questions on numeric fractions.

Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.

Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

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Solve equation involving exponential function

Solve equation involving exponential function.

Solve equation involving exponential function.

Solve equation involving logarithmic function.

Solve equation involving logarithmic function.

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Basic Algebra question, expand one set of brackets, coefficients may be positive or negative, pronumerals randomised.

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